Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What is the formula for the volume of a sphere?

Back

V = 4/3 πr³

Front

What is the formula for the volume of a cone?

Back

V = 1/3 πr²h

Front

What is the radius of a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

What is the diameter of a circle?

Back

The diameter is twice the length of the radius, or the distance across the circle through its center.

Front

How do you calculate the volume of a cylinder with a radius of 2 cm and a height of 6 cm?

Back

V = π(2)²(6) = 75.36 cubic cm

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is equal to 2 times the radius.

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

V = 4/3 π(3)³ = 113.1 cubic cm (approximately).

Front

What is the significance of π in volume calculations?

Back

π (pi) is a constant approximately equal to 3.14, used in formulas involving circles and spheres.

Front

How does the volume of a cone compare to that of a cylinder with the same base and height?

Back

The volume of a cone is one-third that of a cylinder with the same base and height.